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Water has a specific heat capacity of 4.184 J/g/ degree C and glass has a specif

ID: 503734 • Letter: W

Question

Water has a specific heat capacity of 4.184 J/g/ degree C and glass has a specific heat capacity of 0.840 J/g/ degree C. A 100. g glass bead is heated to 197 degree C and dropped into a container of 750. g of water at 18.6 degree C. (a) What is the water temperature when the bead has cooled to 100 degree C? (b) What will be the final temperature of the water and bead? If the container has a heat capacity of 154 J/ degree C; (c) What is the water temperature when the bead has cooled to 100 degree C? (d) What will be the final temperature of the water and bead?

Explanation / Answer

q=mCT mean the following:


q=heat energy gained or lost by a substance
m=mass (grams)
C=specific heat
T=change in temperature

Question a

100 x 0.84 x (197-100) = 750 x 4.184 x (T-18.6)

8148 = 3140.25T - 58.408.65

T = 21.194 Deg celcius

Question b

heat lost by beeds = heat gained by water

it can be given by the equation

100 x 0.84 x (197-T) = 750 x 4.184 x (T-18.6)

16548-84T = 3140.25T - 58.408.65

3224.25 T= 74956.65

T = 23.24 Deg celcius